|
- quadratics - Newtons Identity - Mathematics Stack Exchange
While reading about quadratic equations, I came across Newton's Identity formula which said we can express αn +βn α n + β n in simpler forms but not given any explanation They wrote Sn = αn +βn S n = α n + β n and plugged in the quadratic equation f(x) = ax2 + bx + c f (x) = a x 2 + b x + c to write:
- Geometry notation: what does $m\\angle ABC$ mean?
@Hilbert: As blf points out, ∠ABC ∠ A B C denotes the angle, itself, while m∠ABC m ∠ A B C is its measure For example, suppose we have an equilateral triangle with vertices A, B, C A, B, C Then ∠ABC ∠ A B C occurs at the intersection of the segments AB A B and BC B C, while m∠ABC m ∠ A B C is the measure of that angle The distinction isn't always important, but sometimes it is
- What’s the difference between equals signs ≈, ≅, and ≃?
My professors have seemed to use $≅$ and $≈$ pretty interchangeably to indicate that something is nearly equal to something else, and I just became aware of $≃$ When should we use one of these in
- The idea behind the sum of powers of 2 - Mathematics Stack Exchange
I know that the sum of powers of is 2n + 1 − 1, and I know the mathematical induction proof But does anyone know how 2n + 1 − 1 comes up in the first place For example, sum of n numbers is n (n + 1) 2 The idea is that we replicate the set and put it in a rectangle, hence we can do the trick What is the logic behind the sum of powers of 2 formula?
- How to simplify $a^n - b^n$? - Mathematics Stack Exchange
How to simplify an − bn? If it would be (a + b)n, then I could use the binomial theorem, but it's a bit different, and I have no idea how to solve it Thanks in advance
- How to add and subtract values from an average?
I know that's an old thread but I had the same problem I want to add a value to an existing average without having to calculate the total sum again to add a value to an exisitng average we only must know for how many values the average was calculated for:
- Why is the 2nd derivative written as - Mathematics Stack Exchange
In Leibniz notation, the 2nd derivative is written as $$\dfrac {\mathrm d^2y} {\mathrm dx^2}\ ?$$ Why is the location of the $2$ in different places in the $\mathrm dy \mathrm dx$ terms?
- What is the minimum and maximum number of eigenvectors?
Correct, an n × n n × n matrix which is diagonalizable must have a set of n n linearly independent eigenvectors -- the columns of the diagonalizing matrix are such a set In general, if an n × n n × n matrix has k k distinct eigenvalues, then there may in general be anywhere between k k and n n linearly independent eigenvectors For any of this, it doesn't matter whether or not the
|
|
|